Sequences & Series Questions and Answers

For each of the following i Determine 3 key points on the new graph and sketch y label the vertex and axis of symmetry

Suppose that the function h is defined as follows if 1 5 x 0 5 if 0 5 x 0 5 if 0 5 x 1 5 2 1 h x 0 1 2 Graph the function h if 1 5 x 2 5 if 2 5 x 3 5 X

1 10 points Find Parametric moves along the ellipse Equations for the path of the particle that y 81 16 1 starting from 0 4 and traversing the ellipse 3 times clockwise Use the interval 0 t 2

Prove the following statement by mathematical inductions VI N n 2n 1 21 1 2 1

uestion 19 Calculate the perimeter of the shaded figure bel 27 yd 10 yd 36 yd Round your final answer to tenths if rounding is n

LICERE COSTRE Real Minimum 312201 SEEEEE Maximum X Popo Ritengo TURGE V Answer the questions below about the quadratic function g x 3x 6x 5 Communit D Co MARES Does the function have a minimum or maximum value EURO YOU WEER VERO What is the function s minimum or maximum value 0 Where does the minimum or maximum value occur

Find the x intercepts horizontal intercepts of the function f 2 42 2 9 The intercepts are at a Basic DNE Enter a list of fractions or integers in mixed numbers mare Separate values with commas Get a similar question You can try this question below 0 1 pt 94 C

another question will save this response olume of the cylinder shown below which is not drawn 4 ft 3 ft al answer to tenths if rounding is necessary

11 Find the equation of the line perpendicular to 2 y x 6 passing through 5 2

Suppose that the functions and g are defined as follows f x 2x 3 g x 4x 1 Find f g and f g Then give their domains using interval notation f s x Domain of 5 g x Domain of fg 2 2 09 0 6 26 0 0 0 0 OUD 0 0 0 0 00 5

3 Find the equation of the line passing through 5 7 and 5 21 Write the answer in slope intercept form

4 Find the equation of the line passing through 2 9 and 2 3

3 Write the equation of the line that goes through the point 6 5 and is perpendicular to the line y 3x 8 Parallel lines have the same slopes Perpendicular lines have opposite and reciprocal slopes What is the slope of y 3x 8 m Hint You can write the slope as a fraction by putting it over 1 Since your line is perpendicular to y 3x 8 your slope has the opposite sign and reciprocal flip the fraction slope myour line Use your slope and the given point to solve for b and write the equation See steps 2 and 3 of Problem 1

A school wishes to form three sides of a rectangular playground using 440 meters of fencing The playground borders the school building so the fourth side does not need fencing As shown below one of the sides has length x in meters Side along school building a Find a function that gives the area A x of the playground in square meters in terms of X 4 x 0 b What side length x gives the maximum area that the playground can have Side length x meters c What is the maximum area that the playground can have 20 X 5 E

A truck rental company rents a moving truck fo dollars of renting the truck to the number x of

WORK vo linear functions y and y are graphed with dicated Give the solution set of y Y

olve the following equation a x 1 3x 2 The solution set of this equat

and an equation of the line through 2 4 and parallel to y 4x 7 Write the equation using function notation

Rafael wants to build a fence for his rectangular garden He has 360 meters of fencing Suppose that a side length in meters of the garden is x as shown below a Find a function that gives the area 4 x of the garden in square meters in terms of x 4 x 0 b What side length x gives the maximum area that the garden can have Side length x meters c What is the maximum area that the garden can have Maximum area square meters X

Write the point slope form equation of the line that satisfies the given conditions Also rewrite the equation of the line such that it s in slope intercept form f 16 8 and f 5 4 Write the equation of the line in point slope form Write the equation of the line in slope intercept form

1 Graph the solution set of the inequality 2 4x 1 4 2x 2 Choose the correct graph of the solution

K Fill in the blank An inequality in the form a x An inequality in the form a x Variable Closed

planning her retiremen ch rate if the total annu

z Instructions blem Set Key Question 1 D

st for copies is a linear function st as a linear function of the nu x is the number of copies made The formula is y

95 Let U m n o p q r s t u v w m n p q r t m o p q s u m o p r s t u v A B C Place the elements of these sets in the proper location on a Venn diagram similar to the one shown at the right 96 Let U 1 2 3 4 5 6 7 8 9 A 1 3 5 7 B 1 3 4 6 8 C 1 4 5 6 7 9 Place the elements of these sets in the proper location on a Venn diagram U C B

For the functions f x and g x find the composition fog and simplify your answer as much as possible Write the domain using interval notation Domain of fg 00 81 0 0 olol 0 0 0 0 DVD 0 0 0 0 8 8 8

MyCPTC Coastal Pines Techn s learn hawkeslearning com Portal Lesson less arch X Exit Certify Lesson 1 7 Linear Inequalitie

6 1 Let f a 2r 1 Find all the vertical horizontal asymptote

the difference of squares along witl 9x 3 18x 2 x 2

Inverse functions Linear discrete The one to one functions g and h are defined as follows g 3 1 4 0 6 3 7 1 9 7 x 4 11 Find the following 210 0 g D DO 5

Suppose that the functions g and h are defined as follows g x x 2 h x Find the compositions g og and hoh Simplify your answers as much as possible Assume that your expressions are defined for all x in the domain of the composition You do not have to indicate the domain 8 8 x hh x X 5

a The graph of y f x is shown Draw the graph of y f x AB b The graph of y g x is shown Draw the graph of y g x X 5

Hattie had 4800 to invest and wants to earn 4 4 interest per year She will put some of the money into an account that earns 2 1 per year and the rest into an account that earns 4 5 per year How much money should she put into each account Investment in 2 1 account Investment in 4 5 account

Shelly spent 40 minutes jogging and 14 minutes cycling and burned 972 calories The next day Shelly swapped times doing 14 minutes of jogging and 40 minutes of cycling and burned the same number of calories How many calories were burned for each minute of jogging and how many for each minute of cycling Number of calories burned per minute

Solve the equation for 3x 8y 24 y 3 8 x 3

A scientist needs 5 6 liters of a 17 alcohol solution She has available a 27 and a 13 solution How many liters of the 27 and how many liters of the 13 solutions should she mix to make the 17 solution Liters of 13 solution Liters of 77 colu

The sum of two numbers is 27 One number is 3 less than the other What are the two numbers The smaller number is The larger number is

Question 8 1 6 35 Part 1 of 4 truck driver operates a delivery service in a southern city H costs him in terms of gasoline wear and tear on his truck e represent the number of deliveries he makes a Express the cost C as a function of x b Express the revenue R as a function of x c Determine analytically the value of x for which reven d Graph y C x and y R x on the same xy axes

2 10 12 60 Question 9 1 6 37 Part 1 of 2 13 78 the constant of variation k and the undetermined value in th 14 in the constant of variation P

Mateo needs cups of juice to make punch How many gallons does he need 5 gallons

If f t sec t find f f 4 1 4 f X

points A B C D and E are collinear and in that order Find AC if AE x 50 and CE x 32

CAPM and Cost of Capital Suppose the Treasury bill rate is 4 and the market risk prem is 7 LO12 3 a What are the project costs of capital for new ventures with betas of 75 and 1 75 b Which of the following capital investments have positive NPVs Project P Q RST Beta 1 0 0 2 0 0 4 1 6 Internal Rate of Return 14 6 18 7 20

10 2 8 e figure above shows the plot of the points 1 1 2 8 3 3 4 5 and 8 9 Find a polynomial of degree 4 of the for ax b cx d e whose graph passes through these points x ht You may want to consider using a computer algebra system to assist in the computation

Let us given the following system 7x 2y 3z 17 3x 6y z 8 3x 2y 6z 2 a Write the Gauss Seidel iteration sequence for the given system b Does the the Gauss Seidel iteration in part a converge for any choice of the initial point x0 YQ Zo Explain

According to Fidelity Investment Vision Magazine the average weekly allowance of children varies directly a their grade level In a recent year the average allowance of a 9th grade student was 9 66 dollars per week What was the average weekly allowance of a 8 th grade student

Click Submit to complete this assessment on 15 oose the correct translation of the following into symb 0 minutes more than the elapsed time is 2 hours here amount of time elapsed hours t 20 2 t 20 120 t 1 3 2 t 20 2

Ex The volume of a cone varies j 25m when the radius is 5 ma Combined Variation y kx Z

Question 9 Choose the correct translation of Eight cm less than six times the W the width cm where O8 6W 172